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Finding the Third Proportional to 78,129.75 and 161,799

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Solution

The third proportional to 78,129.75 and 161,799 is: 335,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129.75 : 161,799 = 161,799 : x
  2. Step 2: Convert to fraction form
    78,129.75/161,799 = 161,799/x
  3. Step 3: Cross multiply
    78,129.75x = 161,799 × 161,799
  4. Step 4: Simplify right side
    78,129.75x = 26,178,916,401
  5. Step 5: Solve for x
    x = 26,178,916,401/78,129.75
  6. Step 6: Final answer
    x = 335,069.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.